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Can 2 raise to the power something be equal to 0? If yes then at what value?

Note by Prabhav Bansal 1 year, 9 months ago

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Can we say 0.0000000000000000000000000000000000000000000001 equal to zero. – Prabhav Bansal · 1 year, 8 months ago

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@Prabhav Bansal – This would only approach 1. Any negative power would be less than 1.

So technically, \( 2^{-\infty} = 0\). But then again, \(-\infty\) isn't a number. – Vishnu Bhagyanath · 1 year, 8 months ago

@Vishnu Bhagyanath – But still if we say that 2^-100000000000 it is zero. – Prabhav Bansal · 1 year, 8 months ago

@Prabhav Bansal – No, it's still not absolute zero. – Vishnu Bhagyanath · 1 year, 8 months ago

@Vishnu Bhagyanath – So, finally we conclude that anything raise to the power any integer is not zero. – Prabhav Bansal · 1 year, 8 months ago

@Prabhav Bansal – 0 raised to the power of any positive real is 0.

You need to qualify what "anything" refers to. – Calvin Lin Staff · 1 year, 8 months ago

No, that's the law of logarithm. – Kenneth Gravamen · 1 year, 9 months ago

No. – Micah Wood · 1 year, 9 months ago

No. Because 0 is not a number. – Randy Strang · 1 year, 9 months ago

@Randy Strang –

Because 0 is not a number.

Are you sure? xP

I'm guessing you mean infinity? – Siddhartha Srivastava · 1 year, 9 months ago

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TopNewestCan we say 0.0000000000000000000000000000000000000000000001 equal to zero. – Prabhav Bansal · 1 year, 8 months ago

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So technically, \( 2^{-\infty} = 0\). But then again, \(-\infty\) isn't a number. – Vishnu Bhagyanath · 1 year, 8 months ago

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– Prabhav Bansal · 1 year, 8 months ago

But still if we say that 2^-100000000000 it is zero.Log in to reply

– Vishnu Bhagyanath · 1 year, 8 months ago

No, it's still not absolute zero.Log in to reply

– Prabhav Bansal · 1 year, 8 months ago

So, finally we conclude that anything raise to the power any integer is not zero.Log in to reply

You need to qualify what "anything" refers to. – Calvin Lin Staff · 1 year, 8 months ago

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No, that's the law of logarithm. – Kenneth Gravamen · 1 year, 9 months agoLog in to reply

No. – Micah Wood · 1 year, 9 months ago

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No. Because 0 is not a number. – Randy Strang · 1 year, 9 months ago

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Are you sure? xP

I'm guessing you mean infinity? – Siddhartha Srivastava · 1 year, 9 months ago

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